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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2004 Volume 16, Number 12, Pages 3–10 (Mi mm207)

Application of the nested grids for modeling of a filtration process

M. S. Belotserkovskaa, A. M. Oparinb, B. N. Chetverushkinc

a M. V. Lomonosov Moscow State University
b Institute for Computer Aided Design of RAS
c Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: Work is devoted to the further research of opportunities of numerical modeling of a filtration process with the help of the model based on attraction of additional regularizational members. Occurrence of these members in the equation of continuity is connected with absence of necessity of the integral description of a filtration process on distances smaller characteristic scale (about 100 grains of breed). Application of model is considered for calculation of a problem in space two-dimensional statement. The special attention is given an opportunity of application of the nested grids for modeling of a filtration process.

Received: 29.03.2004



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